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math.CO2025
Asymptotically half of binary words are shuffle squares
Xiaoyu He, Logan Post
A binary shuffle square is a binary word of even length that can be partitioned into two disjoint, identical subwords. Huang, Nam, Thaper, and the first author conjectured that as…
math.CO2023
Superpolynomial period lengths of the winning positions in the subtraction game
István Miklós, Logan Post
Given a finite set of positive integers, , and starting with a heap of chips, Alice and Bob alternate turns and on each turn a player chooses with smaller or eq…